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WINSTONCH [101]
3 years ago
10

Someone please help me with this

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

<em>50° is the correct answer</em>

Step-by-step explanation:

<u>Right Triangles</u>

The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.

We have a right triangle with the following characteristics:

The hypotenuse is 13 units long

The indicated angle is opposite to the leg of 10 units long.

When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:

\displaystyle \sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}

\displaystyle \sin\theta=\frac{10}{13}

Using a calculator set in mode <em>degrees</em>, the angle is:

\theta=\sin^{-1}\frac{10}{13}

\theta\approx 50.3^\circ

First choice: 52° is not correct because is not a good approximation to 50.3°

Second choice:38° is not correct because is not a good approximation to 50.3°

Third choice: 50° is a good approximation to 50.3°. Correct Answer

Fourth choice: 40° is not correct because is not a good approximation to 50.3°

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Answer:

6 ounces of water

Step-by-step explanation:

In this question, we are asked to calculate the amount in ounce that would be added to the recipe.

From the question, we can see that the recipe requires 3/4 cups of water.

From the question also, we can also see that one cup equals 8 ounces.

Now to know the amount of water that is to be added, what we need to do is to simply multiply the fraction of water in the recipe by 8 ounces

This is equal to 3/4 * 8 = 6 ounces

Hence, she needs to add a total of 6 ounces of water to the recipe

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Steve has overdrawn his checking account by 27$. His bank account charged him 15$ for an overdraft fee. Then he quickly deposite
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Find two consecutive integers whose sum is 901.
aleksandr82 [10.1K]

the answer is :

x+1 and x+2

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In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
Aregular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of
katrin [286]

Answer:

The number of sides the polygon have 9

Step-by-step explanation:

Given in question as :

For The circle ,  the central angles measure be 40 °

Let the number of sides of polygon =  n

Now . as we know

External angle =  \frac{360^{\circ} }{n}

Or ,           40° = \frac{360^{\circ} }{n}

Or, \frac{360^{\circ} }{n} = 40°

Or, \frac{360^{\circ} }{n} = 40°

So, n = \frac{360^{\circ} }{40^{\circ}} = 9

Hence The number of sides the polygon have 9      Answer

7 0
3 years ago
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